1. Build an exponential functicn that fits the given data and answer the questions that follow. Be sure to identifythe units of time and the reference point t=0.(a) The population of a country was 2 million in 2018. Assuming an annual grow th rate of 4.5% per year, whatwill the population of the country be in 2025?(b) The number of cells in a petri doubles every 4 weeks, starting with 10 cells. How many weeks will take forthe petri dish to have 1500 cells?(e) Suppose that a pain killer is removed from the body at a rate of 15% per hour. How many hours does ittake for the amount of painkiller to reach 10% of the initial dose?

let t = 0 in 2018 so the annual growth rate is 4.5% per year write the equation first Let initial…

1. Build an exponential function that fits the given data and answer the questions that follow. Be sure to identify the units of time and the reference point t 0. (a) The population of a country was 2 million in 2018. Assuming an annual grow th rate of 4.5% per year, what will the population of the country be in 2025?

1. Build an exponential function that fits the given data and answer the questions that follow. Be sure to identify the units of time and the reference point t 0. (a) The population of a country was 2 million in 2018. Assuming an annual grow th rate of 4.5% per year, what will the population of the country be in 2025?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Apply models of situations related to business administration using linear, polynomial, exponential…

A: An exponential function is of the form y=abx, where a and b are constants and x and y are variables,…

Q: Assume the revenue in the year 2000 was $ 800,000, and in the year 2002 it was $ 600,000. Assuming…

A: We will use exponential growth/decay formula to find expected revenue

Q: The value of a car depreciates exponentially. The table to the right shows its value as a function…

A: we need to find out the equation for the exponential depreciation.

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: Given, the population of a certain country has grown at a rate proportionalto the number of people…

Q: Is the question asked in each example looking for a rate or a quantity?

A: Rate: It is defined as the comparison of the change in one quantity. Quantity: It is define as the…

Q: 1. Make a table and graph each exponential function, then answer the questions below. a. y = 2* X |…

A: To graph given functions

Q: 1. Each table shows the population of a city over a three-year period. Write an exponential function…

A: To write the exponential equations

Q: The following data presents the number of transistors per chip for Intel computer chips between 1971…

A: Given, Year (X) Number of Transistor per chip (Y) 1971 2300 1972 3500 1974 4500 1976 6500…

Q: Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5%per year. To use a…

A: Given :- Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5 % per…

Q: Please consider the questions below and use the tools you acquired in this course to answer them.…

A: Given information: The equation of CEOs salary in terms of sales, roe, and ros is given.

Q: AEN O Euler's number, e = 2.7182 constant similar to 1. Since default base. Excel could h 1. 3 a)…

A: In the given question, the concept of exponential is applied. Exponential Function Exponents are…

Q: According to the United States Census Bureau the population of Utah was 2.12 million people in 1997…

Q: 10. Write an equation for each of the exponential functions shown below. The base graph is y = 2*.…

Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

Q: 2. (State whether the growth or decay is linear or exponential. Then answer the associated question,…

Q: Write an exponential equation describing the given population at any time t. Initial population 200;…

A: Given : Initial population is 200. doubling time is 5 month.

Q: Acid rain is a hazardous meteorological phenomenon brought about when certain pollutants mix with…

Q: This shows log GDP per capita for the UK. Which of the following statements are correct? Select one…

A: Given information: The graph shows log GDP per capita for the UK.

Q: A certain bacteria population triples each minute. Suppose you begin with a single bacteria cell. a.…

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

A app.edulastic.com lever | Teacher.. Launch Meeting -. C Classes A 8 Advisory Michi. O Launch Meeting. E Edulastic: Format. Question 20/26 > NEXT A BOOKMARK A population of bacteria, B , can be modeled using the exponential function B (x) = 3 (2)" , where a is the number of days since th population was first observed. Which domain is most appropriate to use to determine the population over the course of the first weel- A00 15 tv MacBook Air 80 888 DII DD F1 F3 F4 F5 F6 F7 FB @ $ % & 1 2 3 4 8 Q W E R T Y S K
A. you have an exponential function with an a-value (starting amount) of 2 and a b-value (rate) of 1.2. What is the equation? B. take the equation form question #1 and move it 3 clicks to the left. What is the new equation? C. take your answer from C and move it down 5 clicks. What is the new equation?
6. An average earthquake measures 4.5 on the Richter scale. a. How much more intense is an earthquake that measures 8.5 on the Richter scale? b. What is the magnitude of an earthquake that is 200 times more intense than an average earthquake? M = log I
The present data is in the form of tables. For the data set shown by the table, a. Create a scatter plot for the data. b. Use the scatter plot to determine whether an exponential function, a logarithmic function, or a linear function is the best choice for modeling the data.
A car has a purchase price of $24,800. The value declines continuously at an exponential rate of %23 annually. A. Wat is an equation modeling the value of this car after t years? B. What is its value after 6 years? c. How long will it take for its value to be $2000? 2. A bacteria colony grows continuously at an exponential rate. There are initially 1.1 million sent. After 5 days, there are 6.8 million present . a. What is the an equation modeling the number of bacteria present after d days? b. How many bacteria will be present after 7 days? c. How long will it take the number of bacteria to reach 92 million?
22. The population of a rural community was 3050 in 2010 and the population had increased to 3500 in 2015. Assuming exponential growth find the following. a. The growth rate to 4 decimal places and as a percentage. b. Estimate the population in 2018 if the trend continues.